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Finding the Third Proportional to 95,738 and 201,273

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Solution

The third proportional to 95,738 and 201,273 is: 423,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,738 : 201,273 = 201,273 : x
  2. Step 2: Convert to fraction form
    95,738/201,273 = 201,273/x
  3. Step 3: Cross multiply
    95,738x = 201,273 × 201,273
  4. Step 4: Simplify right side
    95,738x = 40,510,820,529
  5. Step 5: Solve for x
    x = 40,510,820,529/95,738
  6. Step 6: Final answer
    x = 423,142.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.